2082816288 has 192 divisors, whose sum is σ = 6966570240. Its totient is φ = 593049600.

The previous prime is 2082816257. The next prime is 2082816349. The reversal of 2082816288 is 8826182802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3150678 + ... + 3151338.

It is an arithmetic number, because the mean of its divisors is an integer number (36284220).

Almost surely, 2^2082816288 is an apocalyptic number.

2082816288 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2082816288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3483285120).

2082816288 is an abundant number, since it is smaller than the sum of its proper divisors (4883753952).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2082816288 is a wasteful number, since it uses less digits than its factorization.

2082816288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The square root of 2082816288 is about 45637.8821594517. The cubic root of 2082816288 is about 1277.0767207897.

The spelling of 2082816288 in words is "two billion, eighty-two million, eight hundred sixteen thousand, two hundred eighty-eight".